35432350400000 has 240 divisors, whose sum is σ = 88535366998848. Its totient is φ = 14165468160000.

The previous prime is 35432350399997. The next prime is 35432350400059. The reversal of 35432350400000 is 405323453.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3812795354 + ... + 3812804646.

Almost surely, 2^{35432350400000} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 35432350400000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (44267683499424).

35432350400000 is an abundant number, since it is smaller than the sum of its proper divisors (53103016598848).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

35432350400000 is an frugal number, since it uses more digits than its factorization.

35432350400000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11719 (or 11683 counting only the distinct ones).

The product of its (nonzero) digits is 21600, while the sum is 29.

Adding to 35432350400000 its reverse (405323453), we get a palindrome (35432755723453).

The spelling of 35432350400000 in words is "thirty-five trillion, four hundred thirty-two billion, three hundred fifty million, four hundred thousand".